Advertisements
Advertisements
प्रश्न
Write the discriminant of the following quadratic equations:
x2 - x + 1 = 0
उत्तर
We have been given, x2 - x + 1 = 0
Now we also know that for an equation ax2 + bx + c = 0, the discriminant is given by the following equation:
D = b2 - 4ac
Now, according to the equation given to us, we have,a = 1, b = -1 and c = 1.
Therefore, the discriminant is given as,
D = (-1)2 - 4(1)(1)
= 1 - 4
= -3
Therefore, the discriminant of the equation is -3.
APPEARS IN
संबंधित प्रश्न
Write the discriminant of the following quadratic equations:
x2 + 2x + 4 = 0
In the following, determine whether the given quadratic equation have real roots and if so, find the roots:
16x2 = 24x + 1
In the following, determine whether the given quadratic equation have real roots and if so, find the roots:
3x2 - 2x + 2 = 0
Find the value of k for which x = 1is a root of the equation `x^2+kx+3=0`
`4x^2+5x=0`
`25x^2+30x+7=0`
`x^2-2ax+(a^2-b^2)=0`
Find the nature of roots of the following quadratic equations:
`5x^2-4x+1=0`
If 3 is a root of the quadratic equation` x^2-x+k=0` find the value of p so that the roots of the equation `x^2+2kx+(k^2+2k+p)=0` are equal.
For what values of k, the roots of the quadratic equation (k + 4) x2 + (k + 1) x + 1 = 0 are equal ?